To analyze the marginal relative frequencies in the two-way table, we calculate the relative frequencies of each category (Pick up and Browse) for weekdays and weekends based on the total visit count.
Total Visits:
- Weekday Total: 37
- Weekend Total: 62
- Overall Total: 99
Marginal Relative Frequencies for Pick Up:
- Weekday Pick Up: \( \frac{25}{99} \) ≈ 0.2525 or 25.25%
- Weekend Pick Up: \( \frac{17}{99} \) ≈ 0.1717 or 17.17%
Marginal Relative Frequencies for Browse:
- Weekday Browse: \( \frac{12}{99} \) ≈ 0.1212 or 12.12%
- Weekend Browse: \( \frac{45}{99} \) ≈ 0.4545 or 45.45%
Interpretation:
- About 25.25% of total visitors come to pick up books on weekdays.
- About 17.17% of total visitors come to pick up books on weekends.
- The majority of visitors (about 45.45%) come to browse the library on weekends, which indicates that browsing is much more popular than picking up reserved books.
- The total visits to the library on weekends (62 visits) surpass those on weekdays (37 visits), making the weekend the most popular time to visit the library.
Based on the calculated frequencies, the correct interpretation from the given options is:
The weekend is the most popular time to visit.